The pressure of a system of stamps on an elastic half-plane under general conditions of contact adhesion and slip☆

Abstract The contact interaction of an elastic half-plane and an arbitrary system of coupled and partially or completely detached stamps is considered. The problem is reduced to a combined Dirichlet-Riemann boundary value problem /1/ and is solved by quadratures. New modifications of the method and problems occurring in tasks with two and more slip sections are discussed; analogous problems with one slip section were studied earlier /2/. Fal ‘kovich’s problem /3/ is investigated in a broadened formulation as an illustration.